https://github.com/thetechnocrat-dev/darkforestframe

dark forest on farcaster
https://github.com/thetechnocrat-dev/darkforestframe

Last synced: 19 days ago
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dark forest on farcaster

• Host: GitHub
• URL: https://github.com/thetechnocrat-dev/darkforestframe
• Owner: thetechnocrat-dev
• License: gpl-3.0
• Created: 2024-03-23T02:19:39.000Z (10 months ago)
• Default Branch: main
• Last Pushed: 2024-03-26T20:45:14.000Z (10 months ago)
• Last Synced: 2024-03-26T21:44:23.975Z (10 months ago)
• Language: TypeScript
• Homepage: https://darkforestframe.vercel.app
• Size: 5.3 MB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        


“If I destroy you, what business is it of yours?”

― Liu Cixin, The Dark Forest

[Inspire by Dark Forest zKSNARK Space Warefare](https://blog.zkga.me/announcing-darkforest)

Ruleset

1) Every player starts the game with three planets hidden from all other players.

2) Planets build up energy over time (equation 1).

3) At anypoint in the game a player can choose to reveal one or more of their planets for rest of the game.

4) A player can send energy from a planet they own to their other planets or to any other player's revealed planets (equation 2).

5) A planet is also revealed for rest of the game when it sends energy to a planet that is not yours.

6) At the end of the game the player with the most energy summed across their 3 planets wins (equation 3).

Equation 1) 

```

E = ln(t + 1)

```

* `E` is the current energy of the planet.

* `t` is the number of epochs since game start.

* `ln` is the natural log.

Plot



An astute read might notice this looks similiar to the [bitcoin supply over time](https://commons.wikimedia.org/wiki/File:Total_bitcoins_over_time.png)



Equation 2)

a)

```

R = (1 / j) * integral_0_to_j(ln(t + 1))

```

* `R` is the threshhold variable of the below sigmoid function. 



b) 

```

E_1' = E_1 * σ (E_1 − R)

```

* `E_1'` is the new energy of the planet after sending energy.

* `E_1` is the current energy of the planet sending energy.

* `σ` is the sigmoid function.

* `R` is the the threshold equation.



c) 

```

E_2' = E_2 * σ (E_2 − R)

```

* `E_2'` is the new energy of the planet receiving the energy.

* `E_2` is the current energy of the planet receiving energy.

* `σ` is the sigmoid function.

* `R` is the the threshold equation.



Equation 3)

```

P = E1 + E2 + E3

```

* `P` is the number of points and `E1` is the energy from planet 1 and so on.



"In the cosmos, no matter how fast you are, someone will be faster; no matter how slow you are, someone will be slower."

- Liu Cixin, Death's End